Homogeneous Polynomial - Homogenization

Homogenization

A non-homogeneous polynomial can be homogenized by introducing an additional variable and defining

$h(P(x_1,x_2,\cdots x_n)) = x_0^d P(\frac{x_1}{x_0},\frac{x_2}{x_0},\cdots \frac{x_n}{x_0}),$

where is the degree of . For example, .

A homogenized polynomial can be dehomogenized by setting the additional variable .

Read more about this topic: Homogeneous Polynomial